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1340001327687 = 3111760717832207
BaseRepresentation
bin10011011111111110010…
…011011001101001000111
311202002202222220102222020
4103133332103121221013
5133423310314441222
62503331010534223
7165545324232111
oct23377623315107
94662688812866
101340001327687
114773228a77a0
1219784b897373
13994915230c9
1448bdbdc03b1
1524ccaac065c
hex137fe4d9a47

1340001327687 has 64 divisors (see below), whose sum is σ = 2069241790464. Its totient is φ = 762317360640.

The previous prime is 1340001327667. The next prime is 1340001327689. The reversal of 1340001327687 is 7867231000431.

It is not a de Polignac number, because 1340001327687 - 226 = 1339934218823 is a prime.

It is a super-3 number, since 3×13400013276873 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340001327689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607158538 + ... + 607160744.

It is an arithmetic number, because the mean of its divisors is an integer number (32331902976).

Almost surely, 21340001327687 is an apocalyptic number.

1340001327687 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1340001327687 is a deficient number, since it is larger than the sum of its proper divisors (729240462777).

1340001327687 is a wasteful number, since it uses less digits than its factorization.

1340001327687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628.

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 1340001327687 in words is "one trillion, three hundred forty billion, one million, three hundred twenty-seven thousand, six hundred eighty-seven".

Divisors: 1 3 11 17 33 51 187 561 607 1783 1821 2207 5349 6621 6677 10319 19613 20031 24277 30311 30957 37519 58839 72831 90933 112557 113509 333421 340527 412709 1000263 1082281 1238127 1339649 3246843 3935081 4018947 11805243 11905091 14736139 18398777 22774033 35715273 43285891 44208417 55196331 66896377 68322099 129857673 200689131 202386547 250514363 607159641 735860147 751543089 2207580441 2388594167 7165782501 26274535837 40606100839 78823607511 121818302517 446667109229 1340001327687